基于负荷局域择优重新分配原则的复杂网络上的相继故障

相继故障普遍存在现实的网络系统中，为了更好地探讨复杂网络抵制相继故障的全局鲁棒性，采用网络中节点j上的初始负荷为L_j=k^α_j（k_j为节点j的度）的形式，并基于崩溃节点上负荷的局域择优重新分配的原则，提出了一个新的相继故障模型.依据新的度量网络鲁棒性的指标，探讨了4种典型复杂网络上的相继故障现象.数值模拟表明， 关键词： 相继故障 复杂网络 关键阈值 相变

Cascading failures on complex networks based on the local preferential redistribution rule of the load

Cascading failures are common in real-life networks. To better explore the robustness against cascading failures on complex networks，by adopting the initial load of a node j to be L_j=k^α_j，where k_j is the degree of the node j，a new cascading model is proposed based on the local preferential redistribution rule of the broken node's load. According to a new measure to the robustness of a network，we further investigate cascading failures on four typical networks. The numerical simulations show that four networks reach the strongest robustness level against cascading failures and that the robustness against cascading failures on four networks has a negative correlation with the average degree 〈k〉 when α=1. The simulation results are also verified by the theoretical analysis.